52071877874016 has 4608 divisors, whose sum is σ = 239075794944000. Its totient is φ = 10760291942400.

The previous prime is 52071877873993. The next prime is 52071877874063. The reversal of 52071877874016 is 61047877817025.

52071877874016 is a `hidden beast` number, since 5 + 2 + 0 + 71 + 87 + 7 + 87 + 401 + 6 = 666.

It is a super-2 number, since 2×52071877874016² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 60619182195 + ... + 60619183053.

It is an arithmetic number, because the mean of its divisors is an integer number (51882768000).

Almost surely, 2^{52071877874016} is an apocalyptic number.

52071877874016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52071877874016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119537897472000).

52071877874016 is an abundant number, since it is smaller than the sum of its proper divisors (187003917069984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52071877874016 is a wasteful number, since it uses less digits than its factorization.

52071877874016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 36879360, while the sum is 63.

The spelling of 52071877874016 in words is "fifty-two trillion, seventy-one billion, eight hundred seventy-seven million, eight hundred seventy-four thousand, sixteen".